Question

reflect (-4, -5) across the x - axis. then reflect the result across the x - axis again. what are the coordinates of the final point?

Explanation:

Step1: Reflect across x - axis first

When reflecting a point $(x,y)$ across the $x$-axis, the rule is $(x,y)\to(x, - y)$. For the point $(-4,-5)$, we get $(-4, -(-5))=(-4,5)$.

Step2: Reflect the new - point across x - axis again

Applying the same rule $(x,y)\to(x, - y)$ to the point $(-4,5)$, we have $(-4,-5)$.

Answer:

$(-4,-5)$